Find the critical points of . Write them in the order of the quadrants which they
belong.
At , locally looks like:
an elliptic paraboloid a hyperbolic paraboloid neither
of these
At , locally looks like: an elliptic paraboloid a hyperbolic paraboloid neither of
these
At , locally looks like: an elliptic paraboloid a hyperbolic paraboloid neither of
these
At , locally looks like: an elliptic paraboloid a hyperbolic paraboloid neither of
these
The point is:
a local minimum for a local maximum for neither a local
minimum nor a local maximum for
The point is: a local minimum for a local maximum for neither a local
minimum nor a local maximum for
The point is: a local minimum for a local maximum for neither a local
minimum nor a local maximum for
The point is: a local minimum for a local maximum for neither a local
minimum nor a local maximum for